An Effective Strategy for Reducing the Truncation Error in the NF-FF Transformation with Helicoidal Scanning

Authors: F.D'Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, G. Riccio, C. Rizzo

A sophisticated strategy for extrapolating the samples external to the measurement region in the helicoidal scanning is proposed in this paper. It relies on the nonredundant sampling representations of the electromagnetic field an on the optimal sampling interpolation expansions of central type. Such a technique uses the singular value decomposition method for evaluating the outside samples. The estimation of such data allow one to reduce the truncation error affecting the field interpolation in the zone close to the ends of the scanning cylinder, thus giving rise to a more accurate far-field reconstruction. Some numerical tests, assessing the accuracy fo the technique and its stability with respect to random errors affecting the data, are reported.

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